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... differential equations. The most important example of a Lie group (and it turns out, one which encapsulate almost the entirety of the theory) is that of a matrix group, i.e., GLn (R) and SLn (R). First, we discover the relationship between the two matrix groups. The process in doing so will guide us ...
... differential equations. The most important example of a Lie group (and it turns out, one which encapsulate almost the entirety of the theory) is that of a matrix group, i.e., GLn (R) and SLn (R). First, we discover the relationship between the two matrix groups. The process in doing so will guide us ...
On a quadratic matrix equation associated with an M
... uniqueness of M -matrix solutions and numerical methods for finding the desired M -matrix solution are discussed by transforming the equation into an equation that belongs to a special class of nonsymmetric algebraic Riccati equations (AREs). We also discuss the general nonsymmetric ARE and describe ...
... uniqueness of M -matrix solutions and numerical methods for finding the desired M -matrix solution are discussed by transforming the equation into an equation that belongs to a special class of nonsymmetric algebraic Riccati equations (AREs). We also discuss the general nonsymmetric ARE and describe ...